Stark Effect in the Generalized MIC–Kepler Problem

Abstract

The Stark effect in the generalized MIK–Kepler problem is considered. For a discrete energy spectrum, the wave function of the generalized MIK–Kepler problem is presented in parabolic coordinates, and integrals of motion whose eigenfunctions are the parabolic basis. It is shown that in the generalized MIK–Kepler problem, there is a linear Stark effect, completely removing the degeneracy of energy levels in the azimuthal quantum number, and its dipole moment is calculated. An explicit expression for the additional integral of motion for the generalized MIK–Kepler problem in the presence of a constant uniform electric field is obtained.